4338400 has 144 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1433600.

The previous prime is 4338391. The next prime is 4338401. The reversal of 4338400 is 48334.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149586 + ... + 149614.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

Almost surely, 2^4338400 is an apocalyptic number.

4338400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

4338400 is an abundant number, since it is smaller than the sum of its proper divisors (8317040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4338400 is a wasteful number, since it uses less digits than its factorization.

4338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4338400 is about 2082.8826179120. The cubic root of 4338400 is about 163.0959576507.

The spelling of 4338400 in words is "four million, three hundred thirty-eight thousand, four hundred".